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Autor/inn/enCham, Heining; West, Stephen G.; Ma, Yue; Aiken, Leona S.
TitelEstimating Latent Variable Interactions with Nonnormal Observed Data: A Comparison of Four Approaches
QuelleIn: Multivariate Behavioral Research, 47 (2012) 6, S.840-876 (37 Seiten)
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0027-3171
DOI10.1080/00273171.2012.732901
SchlagwörterMonte Carlo Methods; Computation; Robustness (Statistics); Structural Equation Models; Maximum Likelihood Statistics; Statistical Analysis; Statistical Bias; Error of Measurement; Longitudinal Studies; Mexican Americans; Academic Achievement; Elementary School Students; Grade 5; Self Efficacy; Role Models; Family (Sociological Unit)
AbstractA Monte Carlo simulation was conducted to investigate the robustness of 4 latent variable interaction modeling approaches (Constrained Product Indicator [CPI], Generalized Appended Product Indicator [GAPI], Unconstrained Product Indicator [UPI], and Latent Moderated Structural Equations [LMS]) under high degrees of nonnormality of the observed exogenous variables. Results showed that the CPI and LMS approaches yielded biased estimates of the interaction effect when the exogenous variables were highly nonnormal. When the violation of nonnormality was not severe (normal; symmetric with excess kurtosis less than 1), the LMS approach yielded the most efficient estimates of the latent interaction effect with the highest statistical power. In highly nonnormal conditions, the GAPI and UPI approaches with maximum likelihood (ML) estimation yielded unbiased latent interaction effect estimates, with acceptable actual Type I error rates for both the Wald and likelihood ratio tests of interaction effect at N greater than or equal to 500. An empirical example illustrated the use of the 4 approaches in testing a latent variable interaction between academic self-efficacy and positive family role models in the prediction of academic performance. (Contains 10 tables, 3 figures, and 1 footnote.) (As Provided).
AnmerkungenPsychology Press. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2017/4/10
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